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Subjects
Class 9MathematicsSequences and ProgressionsExplicit or general ruleHardLevel 49
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If (a_n=6n+1), at which term will (a_n=55)?

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Answer and explanation

Correct answer: 9th term

Given a_n=6n+1 and a_n=55, set 6n+1=55. Thus, 6n=54 and n=9. Therefore, 55 is the 9th term of the sequence. The 8th term would be 6(8)+1=49, so it is not correct. Exam tip: To find the position of a given term, equate the general term a_n to that value and solve for n.

Related tags

SequencesProgressionsGeneral-TermLinear-SequenceTerm-Position

Frequently asked questions

What is the correct answer to this question?

9th term

Why is this the correct answer?

Given a_n=6n+1 and a_n=55, set 6n+1=55. Thus, 6n=54 and n=9. Therefore, 55 is the 9th term of the sequence. The 8th term would be 6(8)+1=49, so it is not correct. Exam tip: To find the position of a given term, equate the general term a_n to that value and solve for n.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.

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10 more MCQs
  1. 1For the sequence 2, 5, 10, 17, 26, ..., the nth term is a_n = n² + 1. What is the value of a_12 − a_10?
  2. 2For the sequence 6, 14, 26, 42, ..., a_n = 2n² + 2n + 2. What is the value of a_15 - a_13?
  3. 3If a_n = (-1)^n(n + 1), what will be the value of a_7 + a_8?
  4. 4What will be the next term in the sequence (1, 2, 6, 24, 120, …)?
  5. 5If a_n = 5n + (−1)^n, what will be the value of a_10 − a_9?
  6. 6If a_n = 4n^2 + 2n - 3, what will be the value of a_11?
  7. 7If a_n = (-1)^(n+1)(2n+3), what will be the value of a_8 + a_9?
  8. 8If a_n = n^2 + 6n + 5, which term is 252?
  9. 9What is the general term of the sequence (3, 6, 9, 12, …)?
  10. 10Which explicit rule is correct for the sequence (5, 10, 15, 20, …)?
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